Author: girishks95918

  • JEE MAIN 2025 (Online) 5th April Evening Shift

    Question 1: Let α, β be the roots of the equation x² – x + p = 0 and γ, δ be the roots of the equation x² – 4x + q = 0; p, q ∈ Z. If α, β, γ, δ are in G.P., then |p + q| equals: (A) 16 (B) 32…

  • JEE MAIN 2025 (Online) 5th April Morning Shift

    Question 1: Let a, b ∈ C. Let α, β be the roots of the equation x² + ax + b = 0. If β – α = √11 and β² – α² = 3i√11, then (β³ – α³)² is equal to: (A) 160 (B) 176 (C) 194 (D) 187 ▶ Click here to Check…

  • JEE MAIN 2025 (Online) 6th April Evening Shift

    Question 1: Let f : R → R be defined as f(x) = (2x² – 3x + 2)/(3x² + x + 3). Then f is: (A) both one-one and onto (B) one-one but not onto (C) onto but not one-one (D) neither one-one nor onto ▶ Click here to Check Answer & View Solution Correct…

  • JEE MAIN 2025 (Online) 6th April Morning Shift

    Question 1: Let [t] denote the greatest integer function. If the domain of the function f(x) = sin⁻¹((x + [x])/3) is [α, β), then α² + β² is equal to: (A) 2 (B) 5 (C) 10 (D) 13 ▶ Click here to Check Answer & View Solution Correct Answer: Detailed Verification: [Solution space] Question 2:…

  • FORMULA LIBRARY : HYPERBOLA

    JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE…

  • FORMULA LIBRARY : ELLIPSE

    JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX ELLIPSE — JEE MATH…

  • FORMULA LIBRARY : PARABOLA

    JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX PARABOLA — JEE MATH…

  • FORMULA LIBRARY : CIRCLES

    JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX CIRCLES — JEE MATH APEX — JEE MATH APEX 1. Standard Forms of…

  • FORMULA LIBRARY : STRAIGHT LINES

    JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX STRAIGHT LINES — JEE MATH APEX — JEE MATH APEX 1. Distance Formula 📌 Distance Between…

  • FORMULA LIBRARY : BINOMIAL THEOREM

    JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX JEE MATH APEX BINOMIAL THEOREM — JEE MATH APEX — JEE MATH APEX 1. Binomial Theorem for Positive Integer 📌 Expansion Formula • (x + y)ⁿ = ⁿC₀xⁿ…